Non-homogeneous elastic waves in soils: Notes on the vector decomposition technique

Soil Dynamics and Earthquake Engineering

Volumn 26, Issue 10, 2006, Pages 952-959

  Manolis, George D ^a   Rangelov, Tsviatko V ^b  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

^b INSTITUTE OF MATHEMATICS AND INFORMATICS   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; FINITE DIFFERENCE METHOD; GREEN'S FUNCTION; INTEGRAL EQUATIONS; SEISMIC WAVES; SOIL MECHANICS; WAVE EQUATIONS; WAVE PROPAGATION;

NON-HOMOGENEOUS MATERIALS; VECTOR DECOMPOSITION TECHNIQUE;

ELASTIC WAVES;

EIGENVALUE; ELASTIC WAVE; FINITE DIFFERENCE METHOD; GREEN FUNCTION; INDUCED SEISMICITY; SOIL; VECTOR; WAVE EQUATION; WAVE PROPAGATION;

EID: 33746710898     PISSN: 02677261     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.soildyn.2006.01.024     Document Type: Article

References (11)

1. Manolis G.D., Shaw R.P., and Pavlou S. Elastic waves in nonhomogeneous media under 2D conditions: I. Fundamental solutions. Soil Dynamics & Earthquake Engineering 18 (1999) 19-30
2. Manolis G.D., Shaw R.P., and Pavlou S. Elastic waves in nonhomogeneous media under 2D conditions: II. Numerical implementation. Soil Dynamics & Earthquake Engineering 18 (1999) 31-46
3. Keilis-Borok V.I., Lewshin A.L., Yanovskaya T.B., Lander A.V., Bukchin B.G., Barmin M.P., et al. Seismic surface waves in a laterally inhomogeneous earth (1989), Kluwer, Dordrecht
4. De Hoop A.T. Handbook of radiation and scattering of waves: acoustic waves in fluids, elastic waves in solids, electromagnetic waves (1995), Academic Press, San Diego
5. Manolis G.D. Stochastic soil dynamics. Soil Dynamics & Earthquake Engineering 22 (2002) 3-15
6. Karal F.C., and Keller J.B. Elastic, electromagnetic and other waves in a random medium. Journal of Mathematical Physics 5 (1964) 79-96
7. Beskos D.E. Boundary element methods in dynamic analysis: Part II, 1986-1996. Applied Mechanics Reviews 50 (1997) 149-197
8. Fabricant A., Kutev N., and Rangelov T. On principal eigenvalue for linear second-order elliptic equations in divergence form. Pliska Studia Mathematica Bulgarica 15 (2003) 161-170
9. Egorov Y., and Kondratiev V. On spectral theory of elliptic operators (1996), Birkhauser, Boston
10. Berestycki H., Nirenberg L., and Varadhan S. The principal eigenvalue and maximum principle for second order elliptic operators in general domains. Communications in Pure & Applied Mathematics 47 (1994) 47-92
11. Mathematica, Version 5.0, Wolfram Research, Champaign, IL, 2003.